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Author ID: hiptmair.ralf Recent zbMATH articles by "Hiptmair, Ralf"
Published as: Hiptmair, Ralf; Hiptmair, R.
all top 5

Co-Authors

21 single-authored
16 Claeys, Xavier
12 Perugia, Ilaria
11 Moiola, Andrea
10 Hoppe, Ronald H. W.
8 Jerez-Hanckes, Carlos
7 Ostrowski, Jörg
6 Heumann, Holger
6 Li, Jingzhi
6 Schwab, Christoph
5 Buffa, Annalisa
5 Urzúa-Torres, Carolina
5 Wohlmuth, Barbara I.
5 Zou, Jun
4 Langer, Ulrich
4 Pagliantini, Cecilia
4 Panchal, Piyush
4 Schulz, Erick
4 Spindler, Elke
3 Casati, Daniele
3 Gradinaru, Vasile
3 Joly, Patrick
3 Mao, Shipeng
3 Paganini, Alberto
3 Valli, Alberto
3 Zheng, Weiying
2 Alonso Rodríguez, Ana
2 Averseng, Martin
2 Ayuso de Dios, Blanca
2 Beck, Rudolf
2 Börm, Steffen
2 Florian, Francesco
2 Gittelson, Claude Jeffrey
2 Meury, Patrick
2 Pechstein, Clemens
2 Peng, Zhen
2 Sauter, Stefan
2 Schmidt, Kersten
2 Widmer, Gerhard
2 Xu, Jinchao
1 Beck, Rudi
1 Bermúdez, Alfredo
1 Bespalov, Alexei
1 Boffi, Daniele
1 Bubeck, Tilmann
1 Casagrande, Raffael
1 Chaillat-Loseille, Stéphanie
1 Codecasa, Lorenzo
1 Costabel, Martin
1 Cranganu-Cretu, Bogdan
1 Dauge, Monique
1 Demkowicz, Leszek F.
1 Deuflhard, Peter
1 Eberle-Blick, Sarah
1 Fuhrmann, Henning
1 Ganesh, Mahadevan
1 Giacomel, Lorenzo
1 Grubišić, Luka
1 Haddar, Houssem
1 Hawkins, Stuart Collin
1 Heuer, Norbert
1 Hohage, Thorsten
1 Kotiuga, Peter Robert
1 Kurz, Stefan
1 Labarca-Figueroa, Ignacio
1 Labarca, Ignacio
1 Ledger, Paul David
1 Lee, Jin-Fa
1 Li, Kun
1 Li, Lingxiao
1 López-Fernández, María
1 MacKie-Mason, Brian
1 Mazurkevitch, George
1 Monk, Peter B.
1 Moro, Federico
1 Neymeyr, Klaus
1 Pauly, Dirk
1 Pintarelli, Simon
1 Ren, Ning
1 Renner, Diego
1 Rodríguez, Rodolfo
1 Sargheini, S.
1 Scarabosio, Laura
1 Schädle, Achim
1 Schiekofer, Thomas
1 Schillings, Claudia
1 Schumacher, Henrik
1 Shao, Yang
1 Sinha, Gaurav
1 Smajic, Jasmin
1 Spence, Euan A.
1 Steinbach, Olaf
1 Steinmetz, Thorsten
1 Sterz, Oliver
1 Tonnon, Wouter
1 Tordeux, Sébastien
1 Toselli, Andrea
1 von Petersdorff, Tobias
1 Wardetzky, Max
1 Winkelmann, Christoph
1 Wu, Haijun
...and 2 more Co-Authors
all top 5

Serials

11 SIAM Journal on Numerical Analysis
8 Numerische Mathematik
7 BIT
6 Integral Equations and Operator Theory
5 Advances in Computational Mathematics
5 Oberwolfach Reports
4 Mathematics of Computation
4 Computing
4 Computational Methods in Applied Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Computers & Mathematics with Applications
3 IMA Journal of Numerical Analysis
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 International Journal for Numerical Methods in Engineering
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Mathematical Analysis
3 Computing and Visualization in Science
2 Inverse Problems
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Functional Analysis
2 Journal of Scientific Computing
2 Numerical Algorithms
2 SIAM Journal on Scientific Computing
2 ETNA. Electronic Transactions on Numerical Analysis
2 Foundations of Computational Mathematics
2 Journal of Numerical Mathematics
2 Discrete and Continuous Dynamical Systems. Series S
2 SMAI Journal of Computational Mathematics
1 Classical and Quantum Gravity
1 Communications on Pure and Applied Mathematics
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational and Applied Mathematics
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Computing
1 Journal of Computational Mathematics
1 Applied Numerical Mathematics
1 COMPEL
1 Numerical Methods for Partial Differential Equations
1 Surveys on Mathematics for Industry
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 East-West Journal of Numerical Mathematics
1 Discrete and Continuous Dynamical Systems
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 International Journal of Numerical Modelling
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 IEEE Transactions on Antennas and Propagation
1 Acta Numerica
1 Augsburger Mathematisch-Naturwissenschaftliche Schriften
1 Lecture Notes in Mathematics
1 Communications in Computational Physics
1 Numerical Mathematics: Theory, Methods and Applications

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 1,746 times in 1,089 Documents Cited by Year
Finite elements in computational electromagnetism. Zbl 1123.78320
Hiptmair, R.
404
2002
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
151
2007
Multigrid method for Maxwell’s equations. Zbl 0922.65081
Hiptmair, R.
118
1998
Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
111
2009
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the \(p\)-version. Zbl 1229.65215
Hiptmair, R.; Moiola, A.; Perugia, I.
104
2011
Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113
Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara
95
2000
Canonical construction of finite elements. Zbl 0938.65132
Hiptmair, R.
75
1999
A fully divergence-free finite element method for magnetohydrodynamic equations. Zbl 1393.65031
Hiptmair, Ralf; Li, Lingxiao; Mao, Shipeng; Zheng, Weiying
71
2018
Operator preconditioning. Zbl 1125.65037
Hiptmair, R.
70
2006
Galerkin boundary element methods for electromagnetic scattering. Zbl 1055.78013
Buffa, Annalisa; Hiptmair, Ralf
65
2003
A survey of Trefftz methods for the Helmholtz equation. Zbl 1357.65282
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
65
2016
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
64
2015
Plane wave approximation of homogeneous Helmholtz solutions. Zbl 1263.35070
Moiola, A.; Hiptmair, R.; Perugia, I.
58
2011
Boundary element methods for Maxwell transmission problems in Lipschitz domains. Zbl 1071.65160
Buffa, Annalisa; Hiptmair, Ralf; von Petersdorff, Tobias; Schwab, Christoph
57
2003
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1269.78013
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
45
2013
Discrete Hodge operators. Zbl 0993.65130
Hiptmair, R.
44
2001
Multiple traces boundary integral formulation for Helmholtz transmission problems. Zbl 1261.65123
Hiptmair, R.; Jerez-Hanckes, C.
37
2012
Symmetric coupling for eddy current problems. Zbl 1010.78011
Hiptmair, R.
36
2002
Large deformation shape uncertainty quantification in acoustic scattering. Zbl 1402.35321
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch.
33
2018
Multigrid method for \(H\text{(div)}\) in three dimensions. Zbl 0897.65046
Hiptmair, R.
32
1997
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Zbl 1331.35335
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
28
2011
Multi-trace boundary integral formulation for acoustic scattering by composite structures. Zbl 1366.74030
Claeys, Xavier; Hiptmair, Ralf
27
2013
Natural boundary element methods for the electric field integral equation on polyhedra. Zbl 1010.78014
Hiptmair, Ralf; Schwab, Christoph
26
2002
Regularized combined field integral equations. Zbl 1067.65137
Buffa, A.; Hiptmair, R.
26
2005
Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. Zbl 0939.65136
Beck, Rudolf; Deuflhard, Peter; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara
25
1999
Sparse adaptive finite elements for radiative transfer. Zbl 1147.65095
Widmer, G.; Hiptmair, R.; Schwab, Ch.
25
2008
Convergence analysis of finite element methods for \(H\) (curl; \(\Omega \))-elliptic interface problems. Zbl 1268.78020
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
24
2012
Coupling of finite elements and boundary elements in electromagnetic scattering. Zbl 1049.78021
Hiptmair, R.
23
2003
Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version. Zbl 1347.65176
Hiptmair, R.; Moiola, A.; Perugia, I.
23
2016
Mixed finite element approximation of eddy current problems. Zbl 1114.78012
Alonso Rodríguez, Ana; Hiptmair, Ralf; Valli, Alberto
23
2004
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes. Zbl 1288.65166
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
22
2014
Convergence analysis of finite element methods for \(H(\mathrm{div};\Omega )\)-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
21
2010
Overlapping and multilevel Schwarz methods for vector valued elliptic problems in three dimensions. Zbl 0961.65109
Hiptmair, Ralf; Toselli, Andrea
20
2000
Multitrace boundary integral equations. Zbl 1291.78040
Claeys, Xavier; Hiptmair, Ralf; Jerez-Hanckes, Carlos
20
2013
A coercive combined field integral equation for electromagnetic scattering. Zbl 1082.78003
Buffa, A.; Hiptmair, R.
19
2004
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz \(hp\)-dGFEM. Zbl 1295.31004
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph
19
2014
Dispersion analysis of plane wave discontinuous Galerkin methods. Zbl 1352.65503
Gittelson, Claude J.; Hiptmair, Ralf
19
2014
Electromagnetic scattering at composite objects: a novel multi-trace boundary integral formulation. Zbl 1277.78032
Claeys, Xavier; Hiptmair, Ralf
18
2012
Stabilized FEM-BEM coupling for Helmholtz transmission problems. Zbl 1221.65308
Hiptmair, R.; Meury, P.
18
2006
Novel multitrace boundary integral equations for transmission boundary value problems. Zbl 1346.65066
Claeys, X.; Hiptmair, R.; Jerez-Hanckes, C.; Pintarelli, S.
17
2015
Mesh-independent operator preconditioning for boundary elements on open curves. Zbl 1310.65155
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Urzúa-Torres, Carolina
15
2014
Whitney elements on pyramids. Zbl 0970.65120
Gradinaru, V.; Hiptmair, R.
15
1999
Analysis of tensor product multigrid. Zbl 0973.65118
Börm, S.; Hiptmair, R.
15
2001
Auxiliary space preconditioning in \(H_0(\text{curl};\Omega)\). Zbl 1094.65118
Hiptmair, R.; Widmer, G.; Zou, J.
15
2006
Hierarchical error estimator for eddy current computation. Zbl 0970.78006
Beck, R.; Hiptmair, R.; Wohlmuth, B.
15
2000
A second-kind Galerkin boundary element method for scattering at composite objects. Zbl 1316.65105
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
14
2015
Convergence of the natural \(hp\)-BEM for the electric field integral equation on polyhedral surfaces. Zbl 1223.65083
Bespalov, A.; Heuer, N.; Hiptmair, R.
14
2010
A hybrid formulation of eddy current problems. Zbl 1079.78023
Alonso Rodrigez, Ana; Hiptmair, Ralf; Valli, Alberto
13
2005
Generators of \(H_1(\Gamma_{h},\mathbb{Z})\) for triangulated surfaces: Construction and classification. Zbl 1001.05046
Hiptmair, R.; Ostrowski, J.
13
2002
Shape derivatives in differential forms. I: An intrinsic perspective. Zbl 1278.35056
Hiptmair, Ralf; Li, Jingzhi
13
2013
Self-adjoint curl operators. Zbl 1275.47100
Hiptmair, Ralf; Kotiuga, Peter Robert; Tordeux, Sébastien
13
2012
Convergence analysis with parameter estimates for a reduced basis acoustic scattering T-matrix method. Zbl 1275.65074
Ganesh, M.; Hawkins, S. C.; Hiptmair, R.
13
2012
Local multigrid in \(\boldsymbol{H} (\mathbf{curl})\). Zbl 1212.65486
Hiptmair, Ralf; Zheng, Weiying
13
2009
Multilevel method for mixed eigenproblems. Zbl 1013.65120
Hiptmair, R.; Neymeyr, K.
12
2002
Universal extension for Sobolev spaces of differential forms and applications. Zbl 1302.46024
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
12
2012
Shape optimization by pursuing diffeomorphisms. Zbl 1321.49076
Hiptmair, Ralf; Paganini, Alberto
11
2015
Discrete regular decompositions of tetrahedral discrete 1-forms. Zbl 1445.78011
Hiptmair, Ralf; Pechstein, Clemens
11
2019
Analysis of multilevel methods for eddy current problems. Zbl 1018.78008
Hiptmair, R.
10
2003
Discrete compactness for the \(p\)-version of discrete differential forms. Zbl 1230.78025
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf
10
2011
Shape derivatives for scattering problems. Zbl 1421.35352
Hiptmair, Ralf; Li, Jingzhi
10
2018
Fast convolution quadrature based impedance boundary conditions. Zbl 1301.65106
Hiptmair, Ralf; López-Fernández, María; Paganini, Alberto
9
2014
Computation of resonant modes for axisymmetric Maxwell cavities using \(hp\)-version edge finite elements. Zbl 1121.78013
Hiptmair, R.; Ledger, P. D.
9
2005
Integral equations on multi-screens. Zbl 1292.45001
Claeys, X.; Hiptmair, R.
9
2013
Multilevel solution of the time-harmonic Maxwell’s equations based on edge elements. Zbl 0930.35167
Beck, Rudolf; Hiptmair, Ralf
9
1999
Vekua theory for the Helmholtz operator. Zbl 1266.35016
Moiola, A.; Hiptmair, R.; Perugia, I.
9
2011
Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. Zbl 1274.65287
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying
9
2012
Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms. Zbl 1211.65126
Heumann, Holger; Hiptmair, Ralf
9
2011
Current and voltage excitations for the eddy current model. Zbl 1099.78021
Hiptmair, R.; Sterz, O.
9
2005
Closed-form inverses of the weakly singular and hypersingular operators on disks. Zbl 1390.45026
Hiptmair, R.; Jerez-Hanckes, C.; Urzúa-Torres, C.
9
2018
Multigrid computation of axisymmetric electromagnetic fields. Zbl 0998.65124
Börm, S.; Hiptmair, R.
8
2002
Splitting-based structure preserving discretizations for magnetohydrodynamics. Zbl 1416.76343
Hiptmair, Ralf; Pagliantini, Cecilia
8
2018
Boundary element methods for eddy current computation. Zbl 1298.78032
Hiptmair, Ralf
7
2007
Multilevel methods for mixed finite elements in three dimensions. Zbl 0929.65124
Hiptmair, Ralf; Hoppe, Ronald H. W.
7
1999
Non-reflecting boundary conditions for Maxwell’s equations. Zbl 1042.78010
Hiptmair, R.; Schädle, A.
7
2003
Stable multilevel splittings of boundary edge element spaces. Zbl 1266.78033
Hiptmair, Ralf; Mao, Shipeng
7
2012
First-kind boundary integral equations for the Hodge-Helmholtz operator. Zbl 1409.35062
Claeys, Xavier; Hiptmair, Ralf
7
2019
Extension by zero in discrete trace spaces: inverse estimates. Zbl 1321.65179
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Mao, Shipeng
6
2015
Maxwell’s equations: continuous and discrete. Zbl 1331.78035
Hiptmair, Ralf
6
2015
Domain decomposition for boundary integral equations via local multi-trace formulations. Zbl 1382.65429
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Lee, Jin-Fa; Peng, Zhen
6
2014
Domain decomposition preconditioning for surface integral equations in solving challenging electromagnetic scattering problems. Zbl 1374.78043
Peng, Zhen; Hiptmair, Ralf; Shao, Yang; MacKie-Mason, Brian
6
2016
Stabilized Galerkin for transient advection of differential forms. Zbl 1334.65148
Pagliantini, Cecilia; Hiptmair, Ralf; Heumann, Holger
5
2016
Asymptotic boundary element methods for thin conducting sheets. Zbl 1302.78027
Schmidt, Kersten; Hiptmair, Ralf
5
2015
Mixed plane wave discontinuous Galerkin methods. Zbl 1180.65148
Hiptmair, Ralf; Perugia, Ilaria
5
2009
Stabilized FEM-BEM coupling for Maxwell transmission problems. Zbl 1144.78026
Hiptmair, R.; Meury, P.
5
2008
Second kind boundary integral equation for multi-subdomain diffusion problems. Zbl 1381.65094
Claeys, X.; Hiptmair, R.; Spindler, Elke
5
2017
Fully discrete semi-Lagrangian methods for advection of differential forms. Zbl 1267.65130
Heumann, Holger; Hiptmair, Ralf; Li, Kun; Xu, Jinchao
5
2012
Convergence of lowest-order semi-Lagrangian schemes. Zbl 1273.65121
Heumann, Holger; Hiptmair, Ralf
5
2013
Integral equations for electromagnetic scattering at multi-screens. Zbl 1337.78008
Claeys, X.; Hiptmair, R.
4
2016
Multilevel preconditioning for mixed problems in three dimensions. Zbl 0851.65089
Hiptmair, Ralf
4
1996
Coupled boundary-element scheme for eddy-current computation. Zbl 1066.78017
Hiptmair, Ralf; Ostrowski, Jörg
4
2005
Multilevel gauging for edge elements. Zbl 0955.65087
Hiptmair, R.
4
2000
Real interpolation of spaces of differential forms. Zbl 1242.46026
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
4
2012
DG treatment of non-conforming interfaces in 3D curl-curl problems. Zbl 1383.78034
Casagrande, Raffael; Winkelmann, Christoph; Hiptmair, Ralf; Ostrowski, Joerg
4
2016
A review of regular decompositions of vector fields: continuous, discrete, and structure-preserving. Zbl 1484.65257
Hiptmair, Ralf; Pechstein, Clemens
4
2020
Multilevel preconditioned augmented Lagrangian techniques for \(2\)nd order mixed problems. Zbl 0904.65106
Hiptmair, R.; Schiekofer, T.; Wohlmuth, B.
3
1996
Stabilized Galerkin methods for magnetic advection. Zbl 1293.76088
Heumann, Holger; Hiptmair, Ralf
3
2013
Integral equations for acoustic scattering by partially impenetrable composite objects. Zbl 1315.65101
Claeys, X.; Hiptmair, R.
3
2015
Sparse tensor edge elements. Zbl 1298.78033
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Schwab, Christoph
3
2013
Second-kind boundary integral equations for electromagnetic scattering at composite objects. Zbl 1397.65307
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
3
2017
Auxiliary space preconditioners for SIP-DG discretizations of \(\mathrm{H}(\mathbf{curl})\)-elliptic problems with discontinuous coefficients. Zbl 1433.65264
Ayuso de Dios, Blanca; Hiptmair, Ralf; Pagliantini, Cecilia
3
2017
Traces for Hilbert complexes. Zbl 1519.46021
Hiptmair, Ralf; Pauly, Dirk; Schulz, Erick
2
2023
Force computation for dielectrics using shape calculus. Zbl 1524.78081
Panchal, Piyush; Ren, Ning; Hiptmair, Ralf
1
2023
Coupled domain-boundary variational formulations for Hodge-Helmholtz operators. Zbl 1491.35409
Schulz, Erick; Hiptmair, Ralf
1
2022
Trefftz co-chain calculus. Zbl 1489.65156
Casati, Daniele; Codecasa, Lorenzo; Hiptmair, Ralf; Moro, Federico
1
2022
Spurious resonances in coupled domain-boundary variational formulations of transmission problems in electromagnetism and acoustics. Zbl 1507.78007
Schulz, Erick; Hiptmair, Ralf
1
2022
Spurious quasi-resonances in boundary integral equations for the Helmholtz transmission problem. Zbl 1497.35105
Hiptmair, Ralf; Moiola, Andrea; Spence, Euan A.
1
2022
Electrostatic force computation with boundary element methods. Zbl 1490.65300
Panchal, Piyush; Hiptmair, Ralf
1
2022
A stable boundary integral formulation of an acoustic wave transmission problem with mixed boundary conditions. Zbl 1467.65115
Eberle, S.; Florian, F.; Hiptmair, R.; Sauter, S. A.
2
2021
Frequency-stable full Maxwell in electro-quasistatic gauge. Zbl 1479.35853
Ostrowski, Jörg; Hiptmair, Ralf
2
2021
Quotient-space boundary element methods for scattering at complex screens. Zbl 1479.65034
Claeys, Xavier; Giacomel, Lorenzo; Hiptmair, Ralf; Urzúa-Torres, Carolina
1
2021
Adaptive approximation of shapes. Zbl 1461.49052
Buffa, A.; Hiptmair, R.; Panchal, P.
1
2021
A review of regular decompositions of vector fields: continuous, discrete, and structure-preserving. Zbl 1484.65257
Hiptmair, Ralf; Pechstein, Clemens
4
2020
First-kind Galerkin boundary element methods for the Hodge-Laplacian in three dimensions. Zbl 1446.31002
Claeys, Xavier; Hiptmair, Ralf
2
2020
Compact equivalent inverse of the electric field integral operator on screens. Zbl 1446.45015
Hiptmair, R.; Urzúa-Torres, C.
2
2020
Preconditioning the EFIE on screens. Zbl 1451.78044
Hiptmair, Ralf; Urzúa-Torres, Carolina
1
2020
Coupling FEM with a multiple-subdomain Trefftz method. Zbl 1447.35130
Casati, Daniele; Hiptmair, Ralf
1
2020
Discrete regular decompositions of tetrahedral discrete 1-forms. Zbl 1445.78011
Hiptmair, Ralf; Pechstein, Clemens
11
2019
First-kind boundary integral equations for the Hodge-Helmholtz operator. Zbl 1409.35062
Claeys, Xavier; Hiptmair, Ralf
7
2019
Coupling finite elements and auxiliary sources. Zbl 1442.65349
Casati, Daniele; Hiptmair, R.
3
2019
Elastic energy regularization for inverse obstacle scattering problems. Zbl 1432.35249
Eckhardt, J.; Hiptmair, R.; Hohage, T.; Schumacher, H.; Wardetzky, M.
1
2019
A fully divergence-free finite element method for magnetohydrodynamic equations. Zbl 1393.65031
Hiptmair, Ralf; Li, Lingxiao; Mao, Shipeng; Zheng, Weiying
71
2018
Large deformation shape uncertainty quantification in acoustic scattering. Zbl 1402.35321
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch.
33
2018
Shape derivatives for scattering problems. Zbl 1421.35352
Hiptmair, Ralf; Li, Jingzhi
10
2018
Closed-form inverses of the weakly singular and hypersingular operators on disks. Zbl 1390.45026
Hiptmair, R.; Jerez-Hanckes, C.; Urzúa-Torres, C.
9
2018
Splitting-based structure preserving discretizations for magnetohydrodynamics. Zbl 1416.76343
Hiptmair, Ralf; Pagliantini, Cecilia
8
2018
Second-kind boundary integral equations for scattering at composite partly impenetrable objects. Zbl 1488.65699
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
2
2018
Second kind boundary integral equation for multi-subdomain diffusion problems. Zbl 1381.65094
Claeys, X.; Hiptmair, R.; Spindler, Elke
5
2017
Second-kind boundary integral equations for electromagnetic scattering at composite objects. Zbl 1397.65307
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
3
2017
Auxiliary space preconditioners for SIP-DG discretizations of \(\mathrm{H}(\mathbf{curl})\)-elliptic problems with discontinuous coefficients. Zbl 1433.65264
Ayuso de Dios, Blanca; Hiptmair, Ralf; Pagliantini, Cecilia
3
2017
Asymptotic expansion techniques for singularly perturbed boundary integral equations. Zbl 1378.65181
Schmidt, Kersten; Hiptmair, Ralf
2
2017
A survey of Trefftz methods for the Helmholtz equation. Zbl 1357.65282
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
65
2016
Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version. Zbl 1347.65176
Hiptmair, R.; Moiola, A.; Perugia, I.
23
2016
Domain decomposition preconditioning for surface integral equations in solving challenging electromagnetic scattering problems. Zbl 1374.78043
Peng, Zhen; Hiptmair, Ralf; Shao, Yang; MacKie-Mason, Brian
6
2016
Stabilized Galerkin for transient advection of differential forms. Zbl 1334.65148
Pagliantini, Cecilia; Hiptmair, Ralf; Heumann, Holger
5
2016
Integral equations for electromagnetic scattering at multi-screens. Zbl 1337.78008
Claeys, X.; Hiptmair, R.
4
2016
DG treatment of non-conforming interfaces in 3D curl-curl problems. Zbl 1383.78034
Casagrande, Raffael; Winkelmann, Christoph; Hiptmair, Ralf; Ostrowski, Joerg
4
2016
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
64
2015
Novel multitrace boundary integral equations for transmission boundary value problems. Zbl 1346.65066
Claeys, X.; Hiptmair, R.; Jerez-Hanckes, C.; Pintarelli, S.
17
2015
A second-kind Galerkin boundary element method for scattering at composite objects. Zbl 1316.65105
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
14
2015
Shape optimization by pursuing diffeomorphisms. Zbl 1321.49076
Hiptmair, Ralf; Paganini, Alberto
11
2015
Extension by zero in discrete trace spaces: inverse estimates. Zbl 1321.65179
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Mao, Shipeng
6
2015
Maxwell’s equations: continuous and discrete. Zbl 1331.78035
Hiptmair, Ralf
6
2015
Asymptotic boundary element methods for thin conducting sheets. Zbl 1302.78027
Schmidt, Kersten; Hiptmair, Ralf
5
2015
Integral equations for acoustic scattering by partially impenetrable composite objects. Zbl 1315.65101
Claeys, X.; Hiptmair, R.
3
2015
Stabilized Galerkin for linear advection of vector fields. Zbl 1328.65240
Heumann, Holger; Hiptmair, Ralf
1
2015
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes. Zbl 1288.65166
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
22
2014
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz \(hp\)-dGFEM. Zbl 1295.31004
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph
19
2014
Dispersion analysis of plane wave discontinuous Galerkin methods. Zbl 1352.65503
Gittelson, Claude J.; Hiptmair, Ralf
19
2014
Mesh-independent operator preconditioning for boundary elements on open curves. Zbl 1310.65155
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Urzúa-Torres, Carolina
15
2014
Fast convolution quadrature based impedance boundary conditions. Zbl 1301.65106
Hiptmair, Ralf; López-Fernández, María; Paganini, Alberto
9
2014
Domain decomposition for boundary integral equations via local multi-trace formulations. Zbl 1382.65429
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Lee, Jin-Fa; Peng, Zhen
6
2014
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1269.78013
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
45
2013
Multi-trace boundary integral formulation for acoustic scattering by composite structures. Zbl 1366.74030
Claeys, Xavier; Hiptmair, Ralf
27
2013
Multitrace boundary integral equations. Zbl 1291.78040
Claeys, Xavier; Hiptmair, Ralf; Jerez-Hanckes, Carlos
20
2013
Shape derivatives in differential forms. I: An intrinsic perspective. Zbl 1278.35056
Hiptmair, Ralf; Li, Jingzhi
13
2013
Integral equations on multi-screens. Zbl 1292.45001
Claeys, X.; Hiptmair, R.
9
2013
Convergence of lowest-order semi-Lagrangian schemes. Zbl 1273.65121
Heumann, Holger; Hiptmair, Ralf
5
2013
Stabilized Galerkin methods for magnetic advection. Zbl 1293.76088
Heumann, Holger; Hiptmair, Ralf
3
2013
Sparse tensor edge elements. Zbl 1298.78033
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Schwab, Christoph
3
2013
Multiple traces boundary integral formulation for Helmholtz transmission problems. Zbl 1261.65123
Hiptmair, R.; Jerez-Hanckes, C.
37
2012
Convergence analysis of finite element methods for \(H\) (curl; \(\Omega \))-elliptic interface problems. Zbl 1268.78020
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
24
2012
Electromagnetic scattering at composite objects: a novel multi-trace boundary integral formulation. Zbl 1277.78032
Claeys, Xavier; Hiptmair, Ralf
18
2012
Self-adjoint curl operators. Zbl 1275.47100
Hiptmair, Ralf; Kotiuga, Peter Robert; Tordeux, Sébastien
13
2012
Convergence analysis with parameter estimates for a reduced basis acoustic scattering T-matrix method. Zbl 1275.65074
Ganesh, M.; Hawkins, S. C.; Hiptmair, R.
13
2012
Universal extension for Sobolev spaces of differential forms and applications. Zbl 1302.46024
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
12
2012
Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. Zbl 1274.65287
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying
9
2012
Stable multilevel splittings of boundary edge element spaces. Zbl 1266.78033
Hiptmair, Ralf; Mao, Shipeng
7
2012
Fully discrete semi-Lagrangian methods for advection of differential forms. Zbl 1267.65130
Heumann, Holger; Hiptmair, Ralf; Li, Kun; Xu, Jinchao
5
2012
Real interpolation of spaces of differential forms. Zbl 1242.46026
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
4
2012
Transient full Maxwell computation of slow processes. Zbl 1247.78041
Ostrowski, J.; Hiptmair, R.; Krämer, F.; Smajic, J.; Steinmetz, T.
1
2012
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the \(p\)-version. Zbl 1229.65215
Hiptmair, R.; Moiola, A.; Perugia, I.
104
2011
Plane wave approximation of homogeneous Helmholtz solutions. Zbl 1263.35070
Moiola, A.; Hiptmair, R.; Perugia, I.
58
2011
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Zbl 1331.35335
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
28
2011
Discrete compactness for the \(p\)-version of discrete differential forms. Zbl 1230.78025
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf
10
2011
Vekua theory for the Helmholtz operator. Zbl 1266.35016
Moiola, A.; Hiptmair, R.; Perugia, I.
9
2011
Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms. Zbl 1211.65126
Heumann, Holger; Hiptmair, Ralf
9
2011
Convergence analysis of finite element methods for \(H(\mathrm{div};\Omega )\)-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
21
2010
Convergence of the natural \(hp\)-BEM for the electric field integral equation on polyhedral surfaces. Zbl 1223.65083
Bespalov, A.; Heuer, N.; Hiptmair, R.
14
2010
Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
111
2009
Local multigrid in \(\boldsymbol{H} (\mathbf{curl})\). Zbl 1212.65486
Hiptmair, Ralf; Zheng, Weiying
13
2009
Mixed plane wave discontinuous Galerkin methods. Zbl 1180.65148
Hiptmair, Ralf; Perugia, Ilaria
5
2009
Sparse adaptive finite elements for radiative transfer. Zbl 1147.65095
Widmer, G.; Hiptmair, R.; Schwab, Ch.
25
2008
Stabilized FEM-BEM coupling for Maxwell transmission problems. Zbl 1144.78026
Hiptmair, R.; Meury, P.
5
2008
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
151
2007
Boundary element methods for eddy current computation. Zbl 1298.78032
Hiptmair, Ralf
7
2007
Operator preconditioning. Zbl 1125.65037
Hiptmair, R.
70
2006
Stabilized FEM-BEM coupling for Helmholtz transmission problems. Zbl 1221.65308
Hiptmair, R.; Meury, P.
18
2006
Auxiliary space preconditioning in \(H_0(\text{curl};\Omega)\). Zbl 1094.65118
Hiptmair, R.; Widmer, G.; Zou, J.
15
2006
Conservative discretization of the Einstein-Dirac equations in spherically symmetric spacetime. Zbl 1191.83007
Zeller, Benedikt; Hiptmair, Ralf
1
2006
Regularized combined field integral equations. Zbl 1067.65137
Buffa, A.; Hiptmair, R.
26
2005
A hybrid formulation of eddy current problems. Zbl 1079.78023
Alonso Rodrigez, Ana; Hiptmair, Ralf; Valli, Alberto
13
2005
Computation of resonant modes for axisymmetric Maxwell cavities using \(hp\)-version edge finite elements. Zbl 1121.78013
Hiptmair, R.; Ledger, P. D.
9
2005
Current and voltage excitations for the eddy current model. Zbl 1099.78021
Hiptmair, R.; Sterz, O.
9
2005
Coupled boundary-element scheme for eddy-current computation. Zbl 1066.78017
Hiptmair, Ralf; Ostrowski, Jörg
4
2005
Mixed finite element approximation of eddy current problems. Zbl 1114.78012
Alonso Rodríguez, Ana; Hiptmair, Ralf; Valli, Alberto
23
2004
A coercive combined field integral equation for electromagnetic scattering. Zbl 1082.78003
Buffa, A.; Hiptmair, R.
19
2004
Galerkin boundary element methods for electromagnetic scattering. Zbl 1055.78013
Buffa, Annalisa; Hiptmair, Ralf
65
2003
Boundary element methods for Maxwell transmission problems in Lipschitz domains. Zbl 1071.65160
Buffa, Annalisa; Hiptmair, Ralf; von Petersdorff, Tobias; Schwab, Christoph
57
2003
Coupling of finite elements and boundary elements in electromagnetic scattering. Zbl 1049.78021
Hiptmair, R.
23
2003
Analysis of multilevel methods for eddy current problems. Zbl 1018.78008
Hiptmair, R.
10
2003
...and 24 more Documents
all top 5

Cited by 1,394 Authors

53 Hiptmair, Ralf
22 Perugia, Ilaria
21 Jerez-Hanckes, Carlos
21 Li, Jichun
21 Moiola, Andrea
20 Claeys, Xavier
17 Hu, Qiya
17 Schwab, Christoph
17 Zhu, Shengfeng
16 Zou, Jun
15 Yuan, Long
15 Zheng, Weiying
14 Chen, Long
14 Huang, Yunqing
14 Nicaise, Serge
14 Xu, Jinchao
13 Mao, Shipeng
13 Spence, Euan A.
12 Monk, Peter B.
12 Shu, Shi
12 Yang, Wei
11 Harbrecht, Helmut
11 Hu, Xiaozhe
10 Betcke, Timo
10 Mascotto, Lorenzo
10 Melenk, Jens Markus
10 Zhang, Shuo
9 Alonso Rodríguez, Ana
9 Chaumont-Frelet, Théophile
9 Chung, Tsz Shun Eric
9 Demkowicz, Leszek F.
9 Ding, Qianqian
9 Gander, Martin Jakob
9 He, Yinnian
9 Hoppe, Ronald H. W.
9 Qiu, Weifeng
9 Schöps, Sebastian
9 Wu, Haijun
9 Zhong, Liuqiang
9 Zikatanov, Ludmil T.
8 Gopalakrishnan, Jay
8 Hu, Kaibo
8 Yousept, Irwin
7 Chen, Jinru
7 Führer, Thomas
7 Guo, Ruchi
7 Li, Lingxiao
7 Long, Xiaonian
7 Mohamed, M. Shadi
7 Schöberl, Joachim
7 Xu, Liwei
6 Buffa, Annalisa
6 Cao, Shuhao
6 Chandler-Wilde, Simon N.
6 Chen, Junqing
6 Creusé, Emmanuel
6 Dapogny, Charles
6 Dölz, Jürgen
6 Dong, Xiaojing
6 Egger, Herbert
6 Heuer, Norbert
6 Kolev, Tzanio V.
6 Kraus, Johannes K.
6 Li, Jiajie
6 Pauly, Dirk
6 Praetorius, Dirk
6 Rodríguez, Rodolfo
6 Specogna, Ruben
6 Stephan, Ernst Peter
6 Su, Haiyan
6 Trevelyan, Jon
6 van ’t Wout, Elwin
6 Xu, Xuejun
6 Zech, Jakob
5 Adler, James H.
5 Aylwin, Rubén
5 Bao, Gang
5 Beirão da Veiga, Lourenço
5 Bermúdez, Alfredo
5 Bonnet, Marc
5 Burman, Erik
5 Dolean, Victorita
5 El Kacimi, Abdellah
5 He, Xiaoming
5 Hettlich, Frank
5 Hewett, David P.
5 Imbert-Gérard, Lise-Marie
5 Kurz, Stefan
5 Laghrouche, Omar
5 Laurain, Antoine
5 Le Louër, Frédérique
5 Lee, Jin-Fa
5 Li, Jingzhi
5 Li, Peijun
5 Lin, Yanping
5 Lymbery, Maria
5 Ma, Changfeng
5 Manzini, Gianmarco
5 Meddahi, Salim
5 Multerer, Michael D.
...and 1,294 more Authors
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Cited in 130 Serials

87 Journal of Computational Physics
63 SIAM Journal on Scientific Computing
59 Computer Methods in Applied Mechanics and Engineering
58 Computers & Mathematics with Applications
56 Journal of Scientific Computing
51 Mathematics of Computation
48 Numerische Mathematik
47 Journal of Computational and Applied Mathematics
41 SIAM Journal on Numerical Analysis
31 International Journal for Numerical Methods in Engineering
30 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
23 Applied Numerical Mathematics
19 Advances in Computational Mathematics
18 Numerical Linear Algebra with Applications
16 Mathematical Methods in the Applied Sciences
16 Engineering Analysis with Boundary Elements
15 Computational Methods in Applied Mathematics
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 BIT
12 Applicable Analysis
12 Numerical Methods for Partial Differential Equations
12 Communications in Computational Physics
12 SIAM/ASA Journal on Uncertainty Quantification
11 Journal of Mathematical Analysis and Applications
10 Integral Equations and Operator Theory
10 SIAM Journal on Applied Mathematics
9 Communications in Nonlinear Science and Numerical Simulation
7 Applied Mathematics Letters
7 Numerical Algorithms
7 Foundations of Computational Mathematics
7 International Journal of Numerical Analysis and Modeling
6 Applied Mathematics and Computation
6 Mathematics and Computers in Simulation
6 SIAM Journal on Mathematical Analysis
5 Communications on Pure and Applied Mathematics
5 Inverse Problems
5 Journal of Computational Mathematics
5 Computational Mechanics
5 Computing and Visualization in Science
5 Computational Geosciences
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Numerical Mathematics
5 Science China. Mathematics
4 Computer Physics Communications
4 Wave Motion
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Journal of Differential Equations
4 Journal of Optimization Theory and Applications
4 International Journal of Computer Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Computational Optimization and Applications
4 Multiscale Modeling & Simulation
4 Advances in Applied Mathematics and Mechanics
4 Communications on Applied Mathematics and Computation
4 SN Partial Differential Equations and Applications
3 Applied Mathematics and Optimization
3 Calcolo
3 Computing
3 COMPEL
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3 Applied Mathematical Modelling
3 SIAM Journal on Optimization
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3 Discrete and Continuous Dynamical Systems. Series S
3 SMAI Journal of Computational Mathematics
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2 Journal of Mathematical Sciences (New York)
2 Journal of Inverse and Ill-Posed Problems
2 ETNA. Electronic Transactions on Numerical Analysis
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Archives of Computational Methods in Engineering
2 Acta Numerica
2 Journal of Computational Acoustics
2 Mathematical Control and Related Fields
2 S\(\vec{\text{e}}\)MA Journal
2 East Asian Journal on Applied Mathematics
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 Journal of the Mechanics and Physics of Solids
1 Lithuanian Mathematical Journal
1 Nonlinearity
1 Transport Theory and Statistical Physics
1 ACM Transactions on Mathematical Software
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Applied Mathematics and Mechanics. (English Edition)
1 Constructive Approximation
1 Mathematical and Computer Modelling
1 Science in China. Series A
1 Neural Networks
1 SIAM Review
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1 Applied and Computational Harmonic Analysis
1 Electronic Journal of Differential Equations (EJDE)
...and 30 more Serials
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Cited in 44 Fields

897 Numerical analysis (65-XX)
539 Partial differential equations (35-XX)
356 Optics, electromagnetic theory (78-XX)
205 Fluid mechanics (76-XX)
102 Mechanics of deformable solids (74-XX)
76 Calculus of variations and optimal control; optimization (49-XX)
35 Integral equations (45-XX)
26 Global analysis, analysis on manifolds (58-XX)
25 Approximations and expansions (41-XX)
21 Potential theory (31-XX)
21 Probability theory and stochastic processes (60-XX)
18 Operator theory (47-XX)
18 Statistical mechanics, structure of matter (82-XX)
15 Functional analysis (46-XX)
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13 Computer science (68-XX)
11 Biology and other natural sciences (92-XX)
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